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Finding the Fourth Proportional to 822.81, 1,135.48 and 473.50

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Solution

The fourth proportional to 822.81, 1,135.48 and 473.50 is: 653.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.81 : 1,135.48 = 473.50 : x
  2. Step 2: Convert to fraction form
    822.81/1,135.48 = 473.50/x
  3. Step 3: Cross multiply
    822.81x = 1,135.48 × 473.50
  4. Step 4: Simplify right side
    822.81x = 537,649.78
  5. Step 5: Solve for x
    x = 537,649.78/822.81
  6. Step 6: Final answer
    x = 653.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.